Yes, you can.  When you set up the new Mac and connect it to your Time Machine backup either through the network or via cable, you can select restore from Time Machine Backup during setup.  If you have already set up your new Mac and want to now restore, use **Migration Assistant** found in your **Applicatons > Utilities** folder.

The instructions can be found on Apple Support.  See the link below or search support for **Migration Assistant**.


From [Apple Support][1]:

> ##Migration Assistant and Setup Assistant 

> Setup Assistant opens the
> first time you start up a new Mac. It helps you enter your information
> about your network, and guides you through setting up a user account
> on your computer. Use it to transfer user accounts, settings, and
> documents from another computer to your Mac. 

>**If you don't use Setup
> Assistant to transfer information when you first set up your new Mac,
> you can do it later using Migration Assistant.** 

>Migration Assistant in
> OS X Mavericks and Yosemite can transfer information from other
> computers that have OS X Snow Leopard v10.6.8 or later installed. If
> you're migrating from a computer with an earlier version of OS X,
> update your older computer first, or manually copy your data from one
> computer to another. If you're migrating from a Windows-based PC to a
> Mac, you can use the Windows Migration Assistant as part of this
> process.
> 
> ##Migrate from a Time Machine backup or external drive Use these steps to migrate users, data, or other information from an existing Time
> Machine backup stored on a Time Capsule or external drive.
> 
>  1. If your Time Machine backup is on an external drive, connect the
>     drive to your new Mac.
>  2. On your new Mac, open Migration Assistant. You can find it by
>     choosing Go > Utilities, or using Spotlight or Launchpad.
>  3. Enter an admin password when prompted, and click OK.
>  4. Select "From a Mac, Time Machine backup, or startup disk", then
>     click Continue.
>  5. Select the Drive, Time Machine backup, or Time Capsule volume you
>         want to migrate from, then click Continue.  The Continue button is unavailable (dimmed) until you select a source.
>  6. If you're migrating from a Time Capsule, enter your Time Capsule
>     password when prompted, then click Connect.
>  7. Select the specific Time Machine backup you want to migrate from,
>     then click Continue. 
>  8. You can customize the type of information that is migrated on the
>     next screen. If you want to transfer only a portion of an account,
>     deselect anything you don't want migrated. If there is more than one
>     user on your original Mac, you can click the triangle next to a
>     user's icon and deselect anything you don't want to migrate for
>     specific users. 
>  9. After you click Continue, the Migration Assistant begins
>     transferring files to  Mac. The amount of time that it takes for
>     migration to complete depends on the amount of data being copied,
>     and the speed of the connection. After migration finishes, the login
>     window reappears. Log into the migrated account on your new Mac to
>     see your old files.

[![Migration Assistant][2]][2]


  [1]: https://support.apple.com/en-us/HT204350
  [2]: https://i.sstatic.net/6qKqj.png